Submission

Revision submitted

 

  1. A Fast and Accurate 3D Lung Tumor Segmentation Algorithm (20240215 !!) Jian Wang, Ziwei Han, Junseok Kim, submitted, Pattern Analysis and Applications, 2025. 
  2. Stability analysis for maximum principle preserving explicit isotropic schemes of the Allen-Cahn equation (20240531) Jyoti, Seokjun Ham, Soobin Kwak, Youngjin Hwang, Seungyoon Kang, Junseok Kim, submitted, Journal of Computational Mathematics, 2025.
  3. A convergent fourth-order finite difference scheme for the Black-Scholes equation (20230905) Seungyoon Kang, Soobin Kwak, Gyeonggyu Lee, Yougjin Hwang, Seokjun Ham, Junseok Kim, submitted, Computational Economics, 2025.
  4. An efficient computational method for simulating incompressible fluid flows on a virtual cubic surface (20241006 Due by Jan 9 2025) Junxiang Yang, Seungyoon Kang, Sangkwon Kim, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Communications in Nonlinear Science and Numerical Simulation, 2025.
  5. A practically stable explicit numerical method for the ternary Cahn-Hilliard system (20241016) Seokjun Ham, Hyundong Kim, Youngjin Hwang, Junseok Kim, submitted, Mathematical Modelling and Control, 2025. 
  6. Designing team projects for envy-free group collaboration (20241029), Jian Wang, Chaeyoung Lee, Heming Xu, Soobin Kwak, Hyundong​ ​Kim, Junseok Kim, submitted, Discrete Dynamics in Nature and Society, 2025.
  7. Computational analysis of a normalized time-fractional Fokker-Planck equation (20241127, Due Feb 05, 2025) Jian Wang, Keyong Chen, Junseok Kim, submitted, Physica A, 2025.
  8. Impact of prey-taxis on a harvested intraguild predation predator-prey model (20240919, cfdkim, cfdkim no! Due Mar​ ​18,​ ​2025) Mengxin Chen, Canrong Tian, Seokjun Ham, Hyundong Kim, Junseok Kim, submitted, European​ ​Journal​ ​of​ ​Applied​ ​Mathematics, 2025.

 

In revision

 

  1. An efficient image encryption algorithm based on a time-delay predator-prey model (20241230, Due Feb 05, 2025) Jian Wang, Haixiao Wang, Wenjing Jiang,  Zean Dai, Junseok Kim, submitted, Applied​ ​Physics​ ​B, 2025.
  2. Adaptive time-stepping method for efficient simulation of the epidemic models (20250106, jkim1) Junseok Kim, submitted, European Journal of Pure and Applied Mathematics, 2025.

 

Submitted

  1. Fast pricing in Android platform calculator for four-asset step-down structure ELS using Brownian bridge (20240309) Hyundong Kim, Juho Ma, Sanghyun Lee,  Junseok Kim, submitted, Computational Economics, 2025.
  2. On the phase-field algorithm for distinguishing connected regions in digital model (20240619) Sijing Lai, Bing Jiang, Qing Xia, Binhu Xia, Junseok Kim, Yibao Li, submitted, Engineering Analysis with Boundary Elements, 2025.
  3. Decoupled, efficient and structure-preserving numerical scheme for a non-isothermal phase field sintering model (20240409) Jingjie Cheng, Qing Xia, Binhu Xia, Junseok Kim, Yibao Li, submitted, Computers and Mathematics with Applications, 2025.
  4. Fully explicit numerical method for the incompressible Navier-Stokes equation (20240806) Junxiang Yang, Yibao Li, Chaeyoung Lee, Yongho Choi, Hyundong Kim, Junseok Kim, submitted, Computers and Mathematics with Applications, 2025.
  5. Curvature-dependent area preserving immersed boundary method for binary immiscible fluids (20240901) Haobo Hua, Pu Han, Huan Han, Seunggyu Lee, Hyundong Kim, Junseok Kim, submitted, International Journal of Heat and Fluid Flow, 2025.
  6. A practical algorithm for image inpainting based on a predator-prey model (20240727) Jian Wang, Mengyu Luo, Junseok Kim, submitted, Pattern Recognition, 2025.
  7. A geometric multigrid implementation for solving the three-dimensional Cahn-Hilliard equation (20240916) Youngjin Hwang, Junseok Kim, ​Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation, 2025.
  8. Reconstruction of convexity-preserving local volatility functions (20240924 !!) Sangkwon Kim, Jian Wang, Soobin Kwak, Hyundong Kim, Yunjae Nam, Junseok Kim, submitted, Annals​ ​of​ ​Operations​ ​Research, 2025.
  9. A​ ​simple​ ​numerical​ ​algorithm​ ​for​ ​generating​ ​circular​ ​porous​ ​pattern​ ​formation​ ​on​ ​curved​ ​surfaces (20240921, cfdkim) Youngjin Hwang, Seungyoon Kang, Jyoti, Junseok Kim, submitted, Computational​ ​and​ ​Applied​ ​Mathematics, 2025.
  10. Phase field modeling of melting and solidification dynamics in metallic powders during the bed fusion process (20241007)  Qing Xia, Sijing Lai, Junseok Kim, Yibao Li, submitted, Communications in Nonlinear Science and Numerical Simulation, 2025.
  11. Reconstructing the quadratic local volatility surface for European options (20241016) Yunjae Nam, Daeun Jeong, Hyundong Kim, Minjoon Bang, Changwoo Yoo, Junseok Kim, submitted, ​Mathematical Modelling and Control, 2025.
  12. An unconditionally stable denoising algorithm on non-uniform grids (20241017)  Jian Wang, Shanshan Ge, Junseok Kim, submitted, Computer-Aided Design, 2025.
  13. A second-order finite difference method for the Black-Scholes model without far-field boundary conditions (20241102) Jian Wang, Xinpei Wu, Youngjin Hwang, Yunjae Nam, Soobin Kwak, Taehui Lee, Junseok Kim, submitted, Journal of Financial Stability, 2025.
  14. A finite difference method for a normalized time-fractional Black–Scholes equation (20241125, 윤재 논문 리비젼 연구비 지원) Yunjae Nam, Jian Wang, Mengyu Luo, Chaeyoung Lee, Yongho Choi, Minjoon Bang, Zhengang Li, Junseok Kim, submitted, Quantitative Finance and Economics, 2025.
  15. A normalized time-fractional Korteweg–de Vries equation (20241127) Hyun Geun Lee, Soobin Kwak, Jyoti, Yunjae Nam, Junseok Kim, submitted, Alexandria​ ​Engineering​ ​Journal, 2025.
  16. Reconstructing initial conditions through inverse problems in normalized time-fractional diffusion equations (20241130) Junseok Kim, submitted, ​Results in Control and Optimization, 2025.
  17. Optimal calibration of the temporally varying volatility function (20241211) Jian Wang, Youngjin Hwang, Hyundong Kim, Soobin Kwak, Junseok Kim, submitted, ​​International Journal of Finance & Economics, 2025.​
  18. Numerical investigation of reverse equity-linked securities (20241211) Yunjae Nam, Jian Wang, Hyundong Kim, Soobin Kwak, Minjoon Bang, Zhengang Li, Junseok Kim, submitted, AIMS Mathematics, 2025.
  19. Reconstructing​ ​Piecewise​ ​Constant​ ​Local​ ​Volatility​ ​Surfaces (20241215) Daeun​ ​Jeong,​ ​Yunjae​ ​Nam,​ ​Minjoon​ ​Bang,​ ​Hyundong​ ​Kim​, ​Junseok​ ​Kim, submitted, J. KSIAM, 2025.
  20. The normalized time-fractional Cahn-Hilliard equation (20241216) Hyun Geun Lee, Soobin Kwak, Seokjun Ham, Youngjin Hwang, Junseok Kim, submitted, Chaos, Solitons and Fractals, 2025.
  21. A novel binary and ternary data classification system based on the modified Gray-Scott model (20241217) Jian Wang, Shanshan Ge, Heming Xu, Wenjing Jiang, Junseok Kim, submitted, Nonlinear​ ​Dynamics, 2025.
  22. Numerical simulation of a normalized time-fractional SUC epidemic model (20241218) Chaeyoung Lee, Jyoti -, Soobin Kwak, Yunjae Nam, Hyundong Kim, Junseok Kim, submitted, AIP Advances, 2025.
  23. Simulation of dendritic growth on a spherical surface using a multi-component phase-field model (20241223 JunseokKim) Sangkwon Kim, Soobin Kwak, Seokjun Ham, Youngjin Hwang, Junseok Kim, submitted, ​International Communications in Heat and Mass Transfer, 2025.
  24. A review of the numerical methods for solving the binary Allen-Cahn equation (20241223) Hyun Geun Lee, Yibao Li, Junxiang Yang, Soobin Kwak, Youngjin Hwang, Seokjun Ham, Hyundong Kim, Jyoti -, Yunjae Nam, Junseok Kim, submitted, Physica A, 2025.​
  25. Computational analysis of a normalized time-fractional Fisher equation (20241230) Soobin Kwak, Yunjae Nam, Seungyoon Kang, Junseok Kim, submitted, Applied Mathematics Letters, 2025.
  26. Pricing five-asset Equity-Linked Securities (ELS) with step-down and knock-in barrier conditions on Android platform (20241223, 이메일 주소 수정, 유사도 검사) Junseok Kim, Juho Ma, Hyunho Shin, Hyundong Kim, submitted, AIMS​ ​Mathematics, 2025.
  27. Benchmark Problems for Physics-Informed Neural Networks: the Allen-Cahn Equation (20241231) Hyun Geun Lee, Youngjin Hwang, Yunjae Nam, Sangkwon Kim, Junseok Kim, submitted, AIMS​ ​Mathematics, 2025.
  28. Classification of N-component data using the vector-valued Allen–Cahn equations (20241231) Sangkwon Kim, Hyun Geun Lee, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Journal​ ​of​ ​Supercomputing, 2025.
  29. An​ ​unconditionally​ ​stable​ ​scheme​ ​for​ ​the​ ​Modica–Mortola​ ​equation​ ​with​ ​a​ ​variable​ ​interfacial​ ​parameter (20250102) Seokjun Ham, Junxiang Yang, Youngjin Hwang, Junseok Kim, submitted, Advances​ ​in​ ​Computational​ ​Mathematics, 2025.
  30. ​A​ ​normalized​ ​time-fractional​ ​Lotka-Volterra​ ​model (20250102) Junseok Kim, submitted, Korean Journal of Mathematics, 2025.
  31. Phase-field modeling of fiber-based thermal diffusion and phase transitions in the fused deposition modeling process (20250103) Binhu Xia, Sijing Lai, Qing Xia, Xiang Liu, Yibao Li, Junseok Kim, submitted, Communications in Nonlinear Science and Numerical Simulation, 2025.
  32. ​Isotropic discretization of a mathematical model for dendritic growth without artificial curvature (20250109) Seokjun Ham, Soobin Kwak, Junseok Kim, submitted, Journal of Crystal Growth, 2025.
  33. An unconditionally stable adaptive finite difference scheme for the Allen–Cahn equation (20250111) Hyundong Kim, Seokjun Ham, Soobin Kwak, Junseok Kim, submitted, Computer Physics Communications, 2025.
  34. Stability​ ​analysis​ ​for​ ​maximum​ ​principle​ ​preserving​ ​fully​ ​explicit​ ​approach​ ​of​ ​the​ ​surface​ ​Allen-Cahn​ ​equation​ ​on​ ​curved​ ​surfaces  (20250113) Hyundong​ ​Kim,​ ​Jian​ ​Wang,​ ​Seokjun​ ​Ham,​ ​Youngjin​ ​Hwang,​ ​.​ ​Jyoti,​ ​Junseok​ ​Kim, submitted, ​Computers and Mathematics with Applications, 2025.​
  35. Reconstructing smooth local volatility surfaces for cryptocurrency options (20250113 윤재 논문 리비젼 연구비 지원) Yunjae Nam, Youngjin Hwang, Junseok Kim, submitted, ​Physica A, 2025.​
  36. Accurate computation of Greeks for equity-linked security (ELS) near early redemption dates (20250114) Yunjae Nam, Changwoo Yoo, Hyundong Kim, Jaewon Hong, Minjoon Bang, Junseok Kim, submitted, Quantitative Finance and Economics, 2025.
  37. Restoration of partially damaged fingerprints using a partial differential equation (20250116) Sangkwon Kim, Yibao Li, Soobin Kwak, Junseok Kim, submitted, Expert Systems With Applications, 2025.
  38. An​ ​efficient​ ​and​ ​accurate​ ​adaptive​ ​time-stepping​ ​method​ ​for​ ​the​ ​Allen-Cahn​ ​equation (20250203) Hyundong Kim, Juho Ma, Hyunho Shin, Junseok Kim, submitted, Journal of Computational Physics, 2025.
  39. Changes in Global Trade Centers Under the Impact of COVID-19: Based on a Visual Assessment Method  (20250120) Jian Wang, Haixiao Wang, Shanshan Ge, Junseok Kim, submitted,  ​​Journal of Business Research, 2025.
  40. Unconditionally​ ​stable​ ​method​ ​for​ ​the​ ​high-order​ ​Allen-Cahn​ ​equation (20250121) Seungyoon Kang, Youngjin Hwang, Junseok Kim, submitted,  ​​Journal​ ​of​ ​Scientific​ ​Computing, 2025.
  41. An efficient operator splitting method for a normalized time-fractional Allen–Cahn equation (20250121) Jian Wang, Keyong Chen, Junxiang Yang, Ziwei Han, Soobin Kwak, Yunjae Nam, Seokjun Ham, Junseok Kim, submitted, Zeitschrift​ ​für​ ​angewandte​ ​Mathematik​ ​und​ ​Physik, 2025.
  42. A direct and simple metric for evaluating researchers’ impact on the global scholarly  communities (20241127) Jian Wang, Menghao Huang, Youngjin Hwang, Seungyoon Kang, Junseok Kim, submitted, Advances​ ​in​ ​Complex​ ​Systems, 2025.
  43. Turing instability and complex pattern evolution of a Gierer-Meinhardt model (20250123) Canrong Tian, Mengxin Chen, Xue-Zhi Li, Junseok Kim, submitted,  ​​Nonlinearity, 2025.

 

Applied​ ​Numerical​ ​Mathematics 한 달에 최대 5편까지 제출 가능 저널

 

In preparation

2) Implicit conservative Allen-Cahn equation using multigrid method on a cubic surface
3) Implicit Cahn-Hilliard equation using multigrid method on a cubic surface
4) Implicit nonlocal Cahn-Hilliard equation using multigrid method on a cubic surface
5) Two-phase Navier-Stokes-Cahn-Hilliard equation on a cubic surface.
6) CAC NS equation on a cubic surface.
 

Turing instability and complex pattern evolution of a Gierer-Meinhardt model
Mengxin Chen, Xue-Zhi Li, Junseok Kim, Canrong Tian.

 

 

 

 

 

  1. Inpainting and denoising of fingerprint images using a nonlocal partial differential equation with a fidelity term (20250110) Soobin Kwak, Yibao Li, Junseok Kim, submitted, Applied Mathematical Modelling, 2025.
  2. A novel multi-component Allen–Cahn system for reducing the vacuum phenomenon at the triple junction (20250113) Seokjun Ham, Junxiang Yang, Youngjin Hwang, Junseok Kim, submitted, Journal of Computational Science, 2025.

 

  1. Numerical studies for the phase-eld crystal equation with a logarithmic free energy
  2. Fast and simple short-time epidemic prediction algorithm for 2019 novel coronavirus (COVID-19) in China

 

Mathematics in Engineering

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 한국연구재단에서 부여한 과제 관리번호). ※ MSIT: Ministry of Science and ICT

This work was supported by the National Research Foundation(NRF), Korea, under project BK21 FOUR.

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